x^2+4x-100000000=0

Simple and best practice solution for x^2+4x-100000000=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2+4x-100000000=0 equation: 


Simplifying
x2 + 4x + -100000000 = 0

Reorder the terms:
-100000000 + 4x + x2 = 0

Solving
-100000000 + 4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '100000000' to each side of the equation.
-100000000 + 4x + 100000000 + x2 = 0 + 100000000

Reorder the terms:
-100000000 + 100000000 + 4x + x2 = 0 + 100000000

Combine like terms: -100000000 + 100000000 = 0
0 + 4x + x2 = 0 + 100000000
4x + x2 = 0 + 100000000

Combine like terms: 0 + 100000000 = 100000000
4x + x2 = 100000000

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 100000000 + 4

Reorder the terms:
4 + 4x + x2 = 100000000 + 4

Combine like terms: 100000000 + 4 = 100000004
4 + 4x + x2 = 100000004

Factor a perfect square on the left side:
(x + 2)(x + 2) = 100000004

Calculate the square root of the right side: 10000.0002

Break this problem into two subproblems by setting 
(x + 2) equal to 10000.0002 and -10000.0002.


Subproblem 1
x + 2 = 10000.0002

Simplifying
x + 2 = 10000.0002

Reorder the terms:
2 + x = 10000.0002

Solving
2 + x = 10000.0002

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x = 10000.0002 + -2

Combine like terms: 2 + -2 = 0
0 + x = 10000.0002 + -2
x = 10000.0002 + -2

Combine like terms: 10000.0002 + -2 = 9998.0002
x = 9998.0002

Simplifying
x = 9998.0002


Subproblem 2
x + 2 = -10000.0002

Simplifying
x + 2 = -10000.0002

Reorder the terms:
2 + x = -10000.0002

Solving
2 + x = -10000.0002

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x = -10000.0002 + -2

Combine like terms: 2 + -2 = 0
0 + x = -10000.0002 + -2
x = -10000.0002 + -2

Combine like terms: -10000.0002 + -2 = -10002.0002
x = -10002.0002

Simplifying
x = -10002.0002


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9998.0002, -10002.0002}

See similar equations:

| 30-(30-2h)=2h | | 40x+20=50y | | 6x+y-4=180 | | -5(3z+5)= | | Y=121x^2-49 | | e^2x-7=987 | | (1/4)(4/17) | | -4(x+2)-42=1-23 | | 8x+18-7x=-4-12 | | 14x=14-(-14) | | 14x=14-(14) | | 483*14= | | -7(x+3)-17=10+8 | | 3^6z^-4/3^7z^-8= | | 13(x-9)=-6-7 | | 121/164 | | 6X^2+30X=900 | | x+kx+1=0 | | 2x+(2x+2)+(2x+4)=102 | | z^10+1=2i | | kx^2-x-(k-2)=0 | | ln(x-1)-ln(x+3)=ln(11) | | -5lnx=1 | | 9y^2-16x^2-18y+9=0 | | 4-3x=2x^2 | | 5/6×t-7 | | -3=3m^2-2m+6 | | 3y/5=1.5x | | 3y/5=1.5 | | (x+2y)(x+7y)=4 | | (x-2y)(x+7y)=4 | | -xy^2(7xy)= |

Equations solver categories